1. It has a fine structure at arbitrarily small scales.
2.It is too irregular to be easily described in traditional Euclidean geometric language.
3.It is self-similar (at least approximately or stochastically).
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Benoit Mandelbrot is the man who is usually credited to have discovered fractals in the year 1975. He was the first person to use this word and was also the first man to represent them in visual form. But history also shows that some facts about fractals were known to mathematicians as early as the 17th century.
Some common techniques for generating fractals would be to use iterated function systems, strange attractors, escape-time fractals, and random fractals.
There are infinitely many fractals so no list can exist.
Fractals were discovered in 1975 by a scientist names Benoit Mandelbrot.
Fractals that which includes the fourth dimension and with which we can identify that our body's veins and nature are self similar.